We investigate collisions of quasi-one-dimensional dissipative solitons (DSs) for a large class of initial conditions, which are not temporally asymptotic quasi-one-dimensional DSs. For the case of sufficiently small approach velocity and sufficiently large values of the dissipative cross-coupling between the counter-propagating DSs, we find non-unique results for the outcome of collisions. We demonstrate that these non-unique results are intrinsically related to a modulation instability along the crest of the quasi-one-dimensional objects. As a model, we use coupled cubic–quintic complex Ginzburg–Landau equations. Among the final results found are stationary and oscillatory compound states as well as more complex assemblies consisting of quasi-one-dimensional and localized states. We analyse to what extent the final results can be described by the solutions of one cubic–quintic complex Ginzburg–Landau equation with effective parameters.
|Número de artículo||20150115|
|Publicación||Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences|
|Estado||Publicada - 13 dic 2015|
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© 2015 The Author(s) Published by the Royal Society. All rights reserved.